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2 years ago

Determine whether each triangle with sides of given lengths is a right triangle. Justify your answer by using the

Mathematics

1 answer:

damaskus [11]2 years ago

6 0

Answer:

It is a right triangle

Step-by-step explanation:

Ok, so the √113 ≈ 10.6

So we we know that that is the biggest side.

The pythagorean theorem : a² + b² = c², where a and b are the legs ( the two smaller sides) and c is the hypotenuse (the longest side of the triangle)

We can input what we know, as 7 and 8 are the smallest sides and √113 is the longest

7² + 8² = (√113)²

49 + 64 = 113

113 = 113

This is a right triangle.

-Chetan K

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Evaluate the function rule to find the range of each function for the domain {-3, 0, 5}. f(x) = x² − 6x + 4

harina [27]

Range is output for given input

domain is D={-3,0,5}
input -3,0 and 5 for x

f(-3)=(-3)^2-6(-3)+4
f(-3)=9+18+4
f(-3)=31

F(0)=(0)^2-6(0)+4

f(0)=0-0+4

f(0)=4

f(5)=(5)^2-6(5)+4

f(5)=25-30+4

f(5)=-1

Domain={-3,0,5}

Range={31,4,-1}

5 0

2 years ago

Angle 1 and Angle 2 are supplementary. Angle 1 is 20 degree less than nine times the size of angle 2.

nadya68 [22]

Answer:

∠1=160° and ∠2=20°

Step-by-step explanation:

Let ∠1 = x

∠2 = y

as these two angles are supplementary their sum is 180

that x+y=180 ----(A)

Also given that ∠1 is 20 degree less than nine times the size of ∠2.

Hence

x=9y-20

putting value of x in A and solving for y

9y-20+y=180

10y=180+20

10y=200

y=10

Putting this y in A

x+10=180

x=160

5 0

2 years ago

Refer to the triangle below. If a = 4 and b = 6, solve for c. show work Also, give the unsimplified radical form answer and then

9966 [12]

Look at the image below where I labeled the sides

To solve this you must use Pythagorean theorem:

$a^{2} +b^{2} =c^{2}$

a and b are the legs (the sides that form a perpendicular/right angle)

c is the hypotenuse (the side opposite the right angle)

In this case...

a = 4

b = 6

c = unknown

^^^Plug these numbers into the theorem

$4^{2} +6^{2} =c^{2}$

simplify

16 + 36 = $x^{2}$

52 = $x^{2}$

To remove the square from x take the square root of both sides to get you...

√52 = x

^^^Unsimplified radical

2√13

^^^Simplified radical

7.21

^^^Rounded to hundedths

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0

3 years ago

Explain the differences (exponents)<br><br> -6^4 and (-6)^4

wel

Step-by-step explanation:

$- {6}^{4} = - 1296 \\ \\ (- {6})^{4} = 1296$

The product of $-6^4$ is negative whereas the product of $(-6) ^4 is positive.$

7 0

2 years ago

What does x equal in 3.8x = -19

Sauron [17]

Answer: -5

Step-by-step explanation:

3 0

2 years ago

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